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Finding the Fourth Proportional to 11,965.94, 16,512.61 and 6,660.58

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Solution

The fourth proportional to 11,965.94, 16,512.61 and 6,660.58 is: 9,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.94 : 16,512.61 = 6,660.58 : x
  2. Step 2: Convert to fraction form
    11,965.94/16,512.61 = 6,660.58/x
  3. Step 3: Cross multiply
    11,965.94x = 16,512.61 × 6,660.58
  4. Step 4: Simplify right side
    11,965.94x = 109,983,559.91
  5. Step 5: Solve for x
    x = 109,983,559.91/11,965.94
  6. Step 6: Final answer
    x = 9,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.